Assume the underdamped voltage response of the circuit in Fig. 8.1 is written as v(t) =
Chapter 8, Problem 8.12(choose chapter or problem)
Assume the underdamped voltage response of the circuit in Fig. 8.1 is written as v(t) = (Ax + A2)e~al cos (o( ,t + y'(^i _ A2)e~at sin a>dt The initial value of the inductor current is /(), and the initial value of the capacitor voltage is V{). Show that A2 is the conjugate of A]_. (Hint: Use the same process as outlined in the text to find A\ and A2.)
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